A detailed investigation is made of the continuity, spectrum and mean ergodic properties of the Cesàro operator C when acting on the strong duals of power series spaces of infinite type. There is a dramatic difference in the nature of the spectrum of C depending on whether or not the strong dual space (which is always Schwartz) is nuclear.

The Cesàro operator on duals of power series spaces of infinite type

ANGELA A. ALBANESE
Membro del Collaboration Group
;
2018

Abstract

A detailed investigation is made of the continuity, spectrum and mean ergodic properties of the Cesàro operator C when acting on the strong duals of power series spaces of infinite type. There is a dramatic difference in the nature of the spectrum of C depending on whether or not the strong dual space (which is always Schwartz) is nuclear.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11587/425939
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